PSLE
Shiyun spent ¹₇ of her money on a jumpsuit and 3 windbreakers. The jumpsuit cost 2 times as much as each windbreaker. Shiyun spent ³₄ of her remaining money on a ring. She spent $331.5 more on the ring than on the 3 windbreakers.
(a) What fraction of Shiyun's money was spent on each windbreaker?
(b) How much money did Shiyun have at first?
(a)
Cost of 1 windbreaker = 1 u

Cost of 3 windbreakers
= 3 x 1 u
= 3 u

Cost of 1 jumpsuit = 2 u

Cost of 1 jumpsuit and 3 windbreakers
= 2 u + 3 u
= 5 u

Fraction of Shiyun's money spent on each windbreaker
= ¹₅ x ¹₇
= ¹₃₅

(b)
¹₇ of her money = 5 u
⁶₇ of her money = 6 x 5 u = 30 u

Shiyun's remaining money = 30 u

Cost of the ring
= ³₄ x 30 u
= 22.5 u

Amount that Shiyun spent more on the ring than on the 3 windbreakers
= 22.5 u - 3 u
= 19.5 u

19.5 u = 331.5

1 u = 331.5 ÷ 19.5 = 17

⁷₇ of her money = 7 x 5 u = 35 u

Amount that Shiyun had at first
= 35 u
= 35 x 17
= $595

Answer(s): (a) ¹₃₅ ; (b) $595